Find the differential dy for the given values of x and dx. y=frac{e^x}{10},x=0,dx=0.1

Wotzdorfg 2020-10-26 Answered
Find the differential dy for the given values of x and dx. y=ex10,x=0,dx=0.1
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Expert Answer

Aniqa O'Neill
Answered 2020-10-27 Author has 100 answers
y=ex10
Differentiate both sides with respect to x
dydx=d(ex10)dx
Using chain rule, we can write
dydx=d(ex10)d(x10)d(x10)dx
Recall: d(eu)du=eu
dydx=ex10110
dydx=ex1010
Multiply both sides by dx
dy=ex1010dx
Result: dy=ex1010dx
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